查询词典 parabolic partial differential equation

Thirdly, according to the development of the frozen soil, the coupling model of single freezing pipe of axial symmetry of temperature field, stress field and moisture migration is put forward firstly. Then, by means of the progressing principle of potential field, the coupling model of temperature field, stress field and moisture migration which is under the condition of the multi-freezing pipes is extended. At last, the energy balance equation, stress balance equation, quality balance equation, geometric equation, physical equation, initial and boundary conditions etc are adopted to give the analytic solution to the problem of plane axial symmetry of single freezing pipe.

第三，在对室内试验和现场实测结果研究的基础上，分析了土体冻结过程中温度场、应力场、水分场耦合原理，并按照冻土体形成发展过程，首先建立了单一冷源冻结轴对称温度、应力、水分场耦合模型；接着利用势场的迭加原理，将单一冷源情况的三场耦合问题推广到多冷源情况的三场耦合；最后根据能量守恒平衡方程、应力平衡方程、质量守恒平衡方程、几何方程、物理方程、初始及边界条件，解出了单一冷源平面轴对称问题的解析解。

Under the condition of the slide between pile and soil around pile is taked into account,five equations are established, including the equation of compatibility between the settlement of pile cap soil and the settlement of pile cap; the equation of compatibility between the settlement of pile head soil and the settlement of pile head; the physical equation between the settlement of soil around pile shaft and the settlement of pile shaft;the equation of equilibrium between loads on the pile cap, side frictional stress and restraints of pile head; the equation of compatibility between the deformation of the pile body and the subtraction between the settlement of pile cap and the settlement of pile heap.

桩身单元和土单元存在着相互作用，在允许桩土相对滑移的前提下，建立桩顶土体沉降与桩顶沉降的协调方程、桩底土体沉降与桩端沉降的协调方程、桩土相对位移与桩侧摩阻力的物理方程、桩身力的平衡方程、桩身压缩和桩顶沉降与桩端沉降之差的协调方程。

In order to determine the solution set of the equation , by the means of meet-irreducible element and irredundant finite meet-decomposition, we first obtain the maximal solutions to the simple equation in the case that b has an irredundant finite meet-decomposition, and then consider the relation between the equation and the equation , based on this, we obtain the maximal solutions to the equation in the case that each element of the matrix B has an irredundant finite meet-decomposition and so determine its solution set completely.

为了确定方程的解集，本文利用交既约元与不可缩短的有限交分解等工具，同样地先求出简单形式的型矩阵方程的所有极大解，然后讨论方程与方程之间的关系，在此基础上，在B的每个元素均有不可缩短的有限交分解的情况下，求出了方程的所有极大解，从而完全确定了方程的解集。

One way is to regard them as the random variables submit to a certain distribution; another is to take them as a random process—— we derive random variables form any of its function's time development, and, the diffusion equation could be partially approached by a equation which is similar to the Ito stochastic integral equation so that the Ito stochastic integral equation is inter-related with the diffusion equation. Therefore, this process could basically reflect the uncertainty in different models.

PSFEM法是假定基本随机变量在均值点处产生微小摄动，利用Taylor级数把随机变量表示为确定部分和由摄动引起的随机部分，从而将有限元控制方程转化为一组线性的递推方程，求解得出位移的统计特性，进而求出应力的统计特性。

The non-isothermal kinetic data were analyzed with the Achar equation, Coats-Redfern equation, Kissinger equation, Flynn-Wall-Ozawa equation and Starink equation.The mechanism function and kinetic parameters of the thermal decomposition in the third step were obtained.The chemical reaction mechanism (F3) controlled the third thermal decomposition process.The apparent activation energy and the pre-exponential factor were 351 kJ·mol-1 and 2.57×10 30s-1 respectively.

采用Achar方程、Coats-Redfern方程、Kissinger方程、Flynn-Wall-Ozawa方程和Starink方程对非等温动力学数据进行了分析，得到了第3步热分解反应的机理函数、动力学参数和热分解反应动力学方程，其热分解反应过程受F3机理控制，表观活化能为351 kJ·mol-1，指前因子为2.57×

First the three-dimensional Hailmuhz equation of magnetotelluric field is split into two 2D equations which could be changed into 1D equation by Fourier transformation method. The two zootomic coefficients of the equation are found out by the derivation of vertical component of electromagnetic field being sufficient the equation and the boundary condition. The resolution of 1D equation can be confirmed.

首先将大地电磁场满足的三维亥姆霍兹方程降维分裂成两个二维响应方程，然后对每一个二维方程进行傅里叶变换，使二维方程变为一维方程，通过大地电磁场垂向方向的导数在地面上所满足的边界条件，确定外推方程中的两个待定系数，从而得到一维外推方程的解。

The valve seat has a first conical partial surface and a second conical partial surface wherein the second conical partial surface is disposed downstream of the first conical partial surface and is raised in relation to it.

阀座(9)包括一个第一锥形部分面(109)及一个第二锥形部分面(209)，其中该第二锥形部分面(209)设置在该第一锥形部分面(109)的下游并相对该第一锥形部分面凸出地构成。

Considering the specialty of pseudo-random vector, a partial scan algorithm for BIST, which unifying the structure analysis and testability analysis, is presented in this paper. Then, the fault simulation experiments on ISCAS89 benchmark circuits by this algorithm is made, and the results, which made by the full scan algorithm and the partial scan algorithm only based on the structure analysis, is compared. The conclusion is achieved: for pseudo-random vector, compared with the full scan circuit and the circuit geted by partial scan algorithm only based on the structure analysis, the circuit geted by our partial scan algorithm can greatly reduce the test time with very close or even greater faults coverage and less area than the full scan.

考虑到伪随机测试向量的特殊性，本文借鉴确定性测试向量生成的部分扫描算法，在内建自测试环境中，提出一种综合结构分析和可测性分析的部分扫描算法，PSBAST，并运用此算法对ISCAS89 benchmark电路进行计算，并对经计算后得到的部分扫描电路进行故障模拟，最后将模拟结果与全扫描电路和一种仅考虑结构因素的部分扫描算法得到的结果进行详细分析和比较，结果表明：对于伪随机测试向量，相对于全扫描电路和由仅考虑结构因素的部分扫描算法得到的电路，本文提出的部分扫描算法得到的电路，能够在不低于全扫描结构故障覆盖率前提下，大幅度减少测试时间，并能降低测试面积开销。

With sea level rise,the partial tide amplitude will be increased,but diminish in some part area;meanwhle tide counting position of partial tide moves unceasingly to southeast direction;Tide amplitude change causing by sea level rising can be taken the Lvsi port as the boundary,to the north,partial tide amplitude enhances unceasingly,and to south it diminishes,especially in destroyed Yellow river it has less enhancement;The region where has the largest increasing partial teide amplitude also the palce which has the quickest erosion rate.sea level rising has a good relation with the beach erosion.

2海平面上升后分潮的振幅将随之而变大，但在部分区域，分潮振幅随着海平面上升而减小；无潮点相对于现有的无潮点位置均向东南方向偏移；海平面上升导致的潮差变化，大致以吕四为界，以北随着海平面上升，分潮的振幅不断增大，以南振幅减小，其中在废黄河口附近的增幅也相对较小；潮差增大幅度最大的地区刚好是岸滩侵蚀最快的地区，海平面上升与岸滩侵蚀存在很好的对应关系。

Then, conversion formulae are given to acquire values of physical parameter partial differential from calculating parameter partial differential.

实例表明，所给出的插值算法及推导的转换公式是正确、可用的。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。